ou enter a lottery by purchasing one of the 1,000 tickets. There is one grand prize winner, 2 second prize winners, and 5 small prize winners. These are selected at random (without replacement) from a bin containing all the tickets.
a) What is the probability that you will win the grand prize?
b) What is the probability that you will win a prize of some type?
ou enter a lottery by purchasing one of the 1,000 tickets. There is one grand prize...
Suppose a scratch-off lottery ticket cost $1, and has the potential for a $1,000 grand prize. You decide to buy one of these lottery tickets. Suppose that the random variable, X=Dollars Won, has the following probability distribution: x P(X=x) 1,000 .0001 10 1 .03 0 .95 a.) what is the probability that you will win $10? b.) how many dollars are you expected to win? c.) suppose your friend says," you will either win or loose with this ticket, that...
Lottery: I buy one of 400 raffle tickets for $10. The sponsors then randomly select 1 grand prize worth $800, then 2 second prizes worth $300 each, and then 3 third prizes worth $100 each. The selections are made without replacement. (a) Complete the probability distribution for this raffle. Give your probabilities as a decimal (rounded to 4 decimal places) or as a fraction. Outcomes P(x) Win Grand Prize Win a Second Prize Win a Third Prize Win Nothing (b)...
The grand prize in the OMG Lottery is a choice between $1,000 paid at the beginning of each month for a period of 10 years and a lump sum paid immediately. If you can invest at an effective annual interest rate of 5%, what is the minimum lump sum you would be willing to accept as winner of this lottery? A) $94,766 B) $95,152 C) $94,282 D) $94,675 E) $93,847
We have a lottery with three prizes. Two of them are $30 and the grand is $200. The total number of tickets is 70 and one for each person. No one can win more than a prize. When the tickets are pulled, the first two prizes of $30 are awarded, then the grand prize. a) how many ways we can award the prizes? b) Suppose a person has one ticket, what's the probability of winning any prize? c) If a...
A lottery has a $10 000 000 grand prize, a $500 000 second prize, and ten $50 000 third prizes. A ticket costs $5, and 4 000 000 tickets were sold. a) What is the expected value of each ticket? b) Using the results of this question and of Example 3, are lottery tickets a good investment? c) How could the lottery be adjusted to make buying a ticket more attractive? Example 3: Expected Value A hospital is having a...
Suppose that in a lottery there are n tickets, and m(< n) tickets will win a prize among them. Also, suppose that there are n players, and they will choose one ticket at random successively from the available tickets. Does the third player, the player to choose his or her ticket after two players have already chosen their tickets, have a disadvantage over the second player or the 1st player?
4. The state lottery claims that its grand prize is $1 million. The lucky winner will receive $100,000 upon presentation of the winning ticket plus $100,000 at the end of each year for the next 9 years. Assume a 8% discount rate. a-Why isn't this really a million-dollar prize? b. What would it actually be worth in dollars to you? c. What would the 10 yearly payments need to be for the present value of the lottery to be $1...
4.26 In a lottery game, three winning numbers are chosen uniformly at random from (1, ,100), sampling without replacement. Lottery tickets cost $1 and allow a player to pick three numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3 d) Hoppe shows that the probability that a single parlayed ticket will ulti- mately win the jackpot is...
4. The state lottery claims that its grand prize is $1 million. The lucky winner will receive $100,000 upon presentation of the winning ticket plus $100,000 at the end of each year for the next 9 years. Assume a 10% discount rate. a-Why isn't this really a million-dollar prize? (5 Points) b-What would it actually be worth in dollars to you? (5 Points) C-What would the 10 yearly payments need to be for the present value of the lottery to...
Lottery: I buy one of 250 raffle tickets for $10. The sponsors then randomly select 1 grand prize worth $300, 2 second prizes worth $100 each, and 3 third prizes worth $50 each. Below is the discrete probability distribution for this raffle. Prize P(x) Grand 1/250 Second 2/250 Third 3/250 None 244/250 (a) Recognizing that I spent $10 to buy a ticket, determine the expected value of this raffle to me as a player. Round your answer to the nearest...